Therefore, the result of the above linear equation problem's solution is hence The lines do not intersect, hence there are no solutions and an inconsistent system.
We define a linear equation.In algebra, a linear equation is one that of the form y=mx+b. The slope is B, and the y-intercept is m. Since y and x are variables, the previous sentence is frequently referred to as a "linear equation with two variables." Bivariate linear equations are linear equations with two variables. Linear equations can be found in many places, including 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation has the structure y=mx+b, where m denotes the slope and b the y-intercept, it is referred to as being linear.
Here,
The lines in this system have the same slope even though the values of b vary.
This indicates the parallel lines.
The lines do not intersect, hence there are no solutions and an inconsistent system.
Since the lines are different, the equations are independent.
The result of the above graph problem's solution is hence The lines do not intersect, hence there are no solutions and an inconsistent system.
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An architect is designing a circular window to be installed in the
gable of a house. The metal window frame will be 1 foot wide and will be bordered by
the roof above and a wood beam below. The distance from the center of the window to the roof is 3 feet. What will be the circumference of the circular glass pane that will be
needed?
Answer:
12.57 ft
Step-by-step explanation:
First thing we need to find is the radius of the circular glass pane. We are given the information that the center of the glass plane is directly in the center of the triangle and that the closest distance from the center to the roof is 3 ft, including a metal border with a width of 1 ft.
Since the metal frame is the same width all the way around the window, we can safely conclude that the radius of the circular glass pane is 2 ft, as the 3ft measurement included the radius and the metal frame.
Now that we have our radius we can use the formula:
[tex]C=2\pi r[/tex] (Circumference = 2 x pi x radius)
Using 3.14 for pi we get:
[tex]C=2(3.14)(2)[/tex]
[tex]C=4 \pi[/tex] or 12.57 ft (2.d.p)
can anyone help me with this click to see
Answer:
-3,-5,-6,-10
Step-by-step explanation:
Answer:
-3 -5 -6 -10
Step-by-step explanation:
6th grader who needs help :( anyone know?
Answer:
B. 4
Step-by-step explanation:
Create an equation:
80 = 18x+8
Solve for x by subtracting both sides by 8:
80-8 = 18x+8-8
72 = 18x
Divide both sides by 18:
72/18 = 18x/18
4 = x
4 is the greatest number of DVDs she can buy.
Use the drawing tools to form the correct answer on the graph.
Plot function g on the graph.
On solving the provided question, we cans ay that - in given inequality equation to -7 < x < -2; -2 < x < 3
What is inequality?A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.
-7 < x < -2
-2 < x < 3
and 3 > x > 8
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Help please will mark brainliest!
Answer:
Option B. Cosec θ = –5/3
Option C. Cot θ = 4/3
Option D. Cos θ = –4/5
Step-by-step explanation:
From the question given above, the following data were obtained:
Tan θ = 3/4
θ is in 3rd quadrant
Recall
Tan θ = Opposite / Adjacent
Tan θ = 3/4 = Opposite / Adjacent
Thus,
Opposite = 3
Adjacent = 4
Next, we shall determine the Hypothenus. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus =?
Hypo² = Opp² + Adj²
Hypo² = 3² + 4²
Hypo² = 9 + 16
Hypo² = 25
Take the square root of both side
Hypo = √25
Hypothenus = 5
Recall:
In the 3rd quadant, only Tan is positive.
Therefore,
Hypothenus = –5
Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus = –5
Sine θ = Opposite / Hypothenus
Sine θ = 3/–5
Sine θ = –3/5
Cos θ = Adjacent / Hypothenus
Cos θ = 4/–5
Cos θ = –4/5
Cot θ = 1/ Tan θ
Tan θ = 3/4
Cot θ = 1 ÷ 3/4
Invert
Cot θ = 1 × 4/3
Cot θ = 4/3
Cosec θ = 1/ Sine θ
Sine θ = –3/5
Cosec θ = 1 ÷ –3/5
Invert
Cosec θ = 1 × –5/3
Cosec θ = –5/3
SUMMARY
Sine θ = –3/5
Cos θ = –4/5
Tan θ = 3/4
Cot θ = 4/3
Cosec θ = –5/3
Therefore, option B, C and D gives the correct answer to the question.
plzzz I need the answer with full solution. *FIND THE SQUAER ROOT OF 2119936 BY DIVISION METHOD*. plzz help me with this question plzzzzzzzzz!.
Answer:
√2119936=1,456
Step-by-step explanation:
Given ABCD…. Please I need help ASAP.
A store is having a sale on chocolate chips and walnuts. For 4 pounds of chocolate chips and 8 pounds of walnuts, the total cost is $33. For 2 pounds of chocolate chips and 3 pounds of walnuts, the total cost is $13.
Find the cost for each pound of chocolate chips and each pound of walnuts.
Answer:
chocolate chip 7
walnuts 3.5
Step-by-step explanation:
assume x=chocolate chips
y=walnuts.
equation
4x + 8y=33
(2x+3y=13)×2
new eq
4x + 8y=33
4x + 6y=26
------------------
2y=7
y=7/2
4x+ 8y = 33
4x + 8(7/2)= 333
4x= 33-28
x=7.00
A.
B. AB ≅ AC
C.
D. CS ≅ ST
Answer:
what are the rest of the choices, if the ones are the top ones they dont make sense.
Step-by-step explanation:
Antonio Ruiz pays a monthly premium of $175 for health insurance. He can purchase dental care and vision
care insurance for his family at an additional cost. The dental premium is $595 and the vision premium is
$195 per year. What is his total monthly premium for all his insurance?
$256.12
$240.83
b. $527.12
d. $238.41
Each scoop radius (center to surface) is 3 cm long. What should be the capacity (volume) of the cylindrical container the shop pack the ice cream to take out? *
Answer:
[tex]28.26h\ cm^3[/tex]
Step-by-step explanation:
The radius of the cylinder, r = 3 cm
We need to find the volume of the cylindrical container the shop pack the ice cream to take out.
The volume of a cylinder is given by :
[tex]V=\pi r^2 h\\\\=3.14\times 3^2h\\\\=28.26h\ cm^3[/tex]
So, the volume of the cylindrical container is [tex]28.26h\ cm^3[/tex].
a
=
8.7
rounded to 1 DP
b
=
0.82
rounded to 2 DP
Find the maximum of
a
+
b
The maximum value considering DP of a and b is 9.52.
What is the decimal places of numbers?The decimal places of a number are the number of digits to be considered after the decimal point. E.g Round 4.7583 to 2 dp, we have;
4.76 3 dp
The maximum value of a sum of numbers is the highest value obtained when these numbers are added one to each other. The decimal places of each number is put into consideration in the process.
From the given question;
a = 8.7 and b = 0.82
Thus,
a + b = 8.7 + 0.82
= 9.52
a + b = 9.52
Therefore, the maximum of a + b = 9.52
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hat is the following sum?
0 7(10√/x²y)
O
O
0 7(²√x²¹x²)
The sum of the given equation is 7[tex]\sqrt[5]{x^{2} y}[/tex].
What is fractional equation?A fractional equation is one in which one or more of its terms have the unknown as their denominator. Equations involving fractions can be resolved using the Cross-Product property.Therefore, when we reduce or simplify a fraction, we aim for maximum simplicity. In order to do this, we divide both the numerator and the denominator by the biggest integer that can be divided precisely into both numbers. In other words, we choose the greatest number that the top and bottom have in common and divide them by that.Equations using fractions require the solution of equations in which the unknown variable is a component of the fraction's numerator or denominator. To solve fractional equations, we must determine the value of the undetermined variable.Given data :
4 ([tex]\sqrt[5]{x^{2} y}[/tex].) + 3 ([tex]\sqrt[5]{x^{2} y}[/tex].)
Add similar elements
= 7[tex]\sqrt[5]{x^{2} y}[/tex].
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The difference between six and a number is two
Answer:
4.
Step-by-step explanation:
the difference means -.
between a number means use a variable (x) to substitute. so now you have the difference between x and 6 is to. is just means equals so you would set it up like this 6-x=2. you can make this easier by just asking yourself. what number plus 2 equals six? the answer would be 4. 4+2=6-->6-4=2.
please help will give brainliest
Answer:
2112
Step-by-step explanation:
we find the area of the base first
which is 16*12/2 because it is a right triangle
16*12/2 = 96
then we multiply the base by the height
22*96 = 2112
as a note, remember, prism volume is all base * height
brainliest if this was helpful
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
a=18.7 or 19 rounded up
Step-by-step explanation:
Use Pythagoras Thereom
a^2=8^2+17^2
a^2=64+289
a^2=353
√353
a=18
Answer:
The length of missing leg is 15 cm.
A bakery sold a total of 500 cupcakes in a day, and 360 of them were mocha flavored.
What percentage of cupcakes sold that day were mocha flavored?
Answer:
72%
Hope this Helps! :)
Answer:
72%
Step-by-step explanation:
360. X
500. 100
you times 360 with 100= 36,000 then u divide by 500= 72%
Using the net below, find the surface area
of the pyramid.
2 lin.
3 in.
|3 in.
Surface Area
=
[?] in.2
Answer:
i think 18 i just did that yesterday
Consider the inequality x > - 1.5. determine whether each value of x makes this inequality true
9514 1404 393
Answer:
no, yes, yes, no, yes
Step-by-step explanation:
You're looking for values greater than -1.5. All positive numbers will be greater than any negative number.
The two negative numbers among the answer choices are both to the left of -1.5 on the number line. They are less than -1.5, so are not greater than -1.5.
The negative numbers are No; the positive numbers are Yes.
Suppose you have a rectangular flower bed whose area is 24ft^2 . The shortest side is (x-4) feet and the longest side is (2x) feet. Find the length of the shortest side.
Answer:
the short side is equal to 2 feet
Step-by-step explanation:
24 = (2x)*(x-4) = 2x² -8x
you'll just use solve on your calculator and get that the x is equal to -2 or 6
which means the short side must be equal to 2
Answer:
2 ftStep-by-step explanation:
Sides are:
x - 4 and 2xThe area is the product of the long and short sides:
2x(x - 4) = 24x(x - 4) = 12x² - 4x = 12x² - 4x + 4 = 16(x - 2)² = 4²x - 2 = 4x = 6The short side is:
x - 4 = 6 - 4 = 2 ftThis circle is centered at the origin, and the length of its radius is 4. What is
the circle's equation?
5+
4
-5
5
-5-
A. x2 + y2 =16
B. x + y = 4
C. X6 + y = 4
D. x2 + y2 = 4
A. x2+y2=16 I just did this question.
Sound waves can be ranked by their intensity, I, given in this formula, where r is the distance from the source of a sound with a power output of P.
[tex]P = 4xr^{2} .[/tex]
Which equation correctly rewrites the formula to solve for I?
A. [tex]I = \frac{P}{4xr^{2} }[/tex]
B. [tex]I = \frac{Pxr^{2} }{4}[/tex]
C. [tex]I = 4Pxr^{2}[/tex]
D. [tex]I = \frac{4P}{xr^{2} }[/tex]
Answer: C correctly rewrites the formula to solve I
Step-by-step explanation:
A spinner is divided into five colored sections that are not of equal size: red, blue,
green, yellow, and purple. The spinner is spun several times, and the results are
recorded below:
Spinner Results
Color Frequency
Red
12
Blue
17
Green 17
Yellow 12
Purple 17
If the spinner is spun 500 more times, about how many times would you expect to
land on blue? Round your answer to the nearest whole number,
Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars. At the counter, he received a discount. If he only paid 22 dollars total, how many dollars was the discount?
There was 4 dollar of discount on the total amount.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars.
At the counter, he received a discount. If he only paid 22 dollars total, then
Total cost 11 + 15 = 26
But 26 - 22 = 4
Therefore, the discount was 4 dollar.
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1. A family went to a restaurant. The total cost
of the meal was $46.50. The family had a
coupon for 30% off the total. What was the
final cost of the meal after the coupon was
used?
Answer:
32.55
Step-by-step explanation:
If you get 30% off, that means you pay (100% - 30% = 70% of the cost)
46.50 * 70%
46.50 *.70
32.55
A national publication showed the following distribution of favorite class subjects for high school students.
Math: 5% English: 14% Social Studies 28%: PE: 26% Music: 20% Other: 7&
Pasquale, a student from a high school of 1,200 students, wants to see whether the distribution at his school matches that of the publication. He stands at the school entrance in the morning and asks the first 40 students he sees what their favorite class is. Pasquale records the following table of observed values.
Math: 7 English: 8 Social Studies: 7: PE: 6 Music: 6 Other: 6
He decides to conduct a chi-square goodness-of-fit test to see whether his high school's distribution differs significantly from that of the publication. Pasquale’s statistics teacher tells him that his information does not meet the conditions necessary for a goodness-of-fit test. Which condition has not been met?
I. Data are collected using a random sample or randomized experiment
II. n≤0.10N
III. All expected counts are greater than 5.
A) I only
B) II only
C) III only
D) I and III only
E) I and II only
Answer:
D) I and III only
Step-by-step explanation:
It was never specified if the sample was random, but the method of sampling was not random. So I must be true, eliminating B and C. Additionally, not all the expected counts are greater than 5 as 40(0.05)<5, 40(0.14)>5, 40(0.28)>5, 40(0.20)>5, 40(0.26)>5, 40(0.20)>5, and 40(0.07)<5. Therefore, D is the only correct answer.
Which of the following numbers is one fifth of a given number if one fourth of that same number is 20
Answer:100
Step-by-step explanation:
Julia's Burger Place made 3 burgers with onions and 12 burgers without onions. What is the ratio of the number of burgers without onions to the number of burgers with onions?
The ratio of number of burgers without onions to the number of burgers with onions is 4:1.
Ratio of numbers.The ratio of numbers implies the relationship between the numbers when expressed in its simplest fraction. The relationship can be written in form of a/ b or a:b.
Given in the question that Julia's Burger Place made 3 burgers with onions and 12 burgers without onions. Then the ratio required can be expressed as;
ratio of number of burgers without onions to burgers with onions = (number of burgers without onions)/ (number of burgers with onions)
= 12/ 3
= 4/ 1
The ratio of number of burgers without onions to burgers with onions = 4:1
Therefore, the ratio of the number of burgers without onions to the number of burgers with onions is 4:1.
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do two rectangle prisms have the same volume? Sometimes, always, never. Pls explain! Giving brainlyst :3
Answer:
It is a known fact that there are rectangular prisms with the same volume but different dimensions.
Find the missing angle. Find x.